I remember an Anime I watched before 2015, which contained the following:

• The male protagonist was kind of best friends & rivals with a girl
• The reason for the rivalry was some sort of heredity rivalry from the families
• At night the two would don Hakama and a white Kosode, sleeves tied up with Tasuki
• Dressed like that and armed with paper figures they'd go and fight monsters/spirits, for example at their own high school.

I remember an Anime I watched before 2015, which contained the following:

• The male protagonist was kind of best friends & rivals with a girl
• The reason for the rivalry was some sort of heredity rivalry from the families
• At night the two would don Hakama and a white(?) Kosode, sleeves tied up with Tasuki
• Dressed like that and armed with paper figures they'd go and fight monsters/spirits, for example at their own high school.